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Simplifying 5(x + 6) = 3(x + 12) Reorder the terms: 5(6 + x) = 3(x + 12) (6 * 5 + x * 5) = 3(x + 12) (30 + 5x) = 3(x + 12) Reorder the terms: 30 + 5x = 3(12 + x) 30 + 5x = (12 * 3 + x * 3) 30 + 5x = (36 + 3x) Solving 30 + 5x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 5x + -3x = 36 + 3x + -3x Combine like terms: 5x + -3x = 2x 30 + 2x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 2x = 36 + 0 30 + 2x = 36 Add '-30' to each side of the equation. 30 + -30 + 2x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 36 + -30 2x = 36 + -30 Combine like terms: 36 + -30 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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